Properties

Label 101478.g
Number of curves $1$
Conductor $101478$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 101478.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
101478.g1 101478j1 \([1, 0, 0, -3949037, -3028676931]\) \(-6810787455780788177508433/20396842684273414476\) \(-20396842684273414476\) \([]\) \(5632704\) \(2.5747\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 101478.g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 101478.g do not have complex multiplication.

Modular form 101478.2.a.g

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} - 3 q^{5} + q^{6} - 4 q^{7} + q^{8} + q^{9} - 3 q^{10} + 3 q^{11} + q^{12} - q^{13} - 4 q^{14} - 3 q^{15} + q^{16} + q^{18} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display